Q) A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere of same radius. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy. Also, find the total surface area of the […]
A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere Read More »
Q) The word ‘circus’ has the same root as ‘circle’. In a closed circular area, various entertainment acts including human skill and animal training are presented before the crowd.A circus tent is cylindrical upto a height of 8 m and conical above it. The diameter of the base is 28 m and total height of
The word ‘circus’ has the same root as ‘circle’. In a closed circular area, various Read More »
Q) A wooden toy is made by scooping out a hemisphere of same radius as of cylinder, from each end of a wooden solid cylinder. If the height of the cylinder is 20 cm and its base is of radius 7 cm, find the total surface area of the toy. Ans: Let’s first make a diagram
Q) Determine the ratio of the volume of a cube to that of the sphere which will exactly fit inside the cube. Ans. Let’s draw the diagram for the given question: If the radius of the sphere is R, then volume of the sphere, VS = If the side of the cube is X, then volume
Q) The interior of a building is in the form of a cylinder of base radius 12 m and height 3.5 m surmounted by a cone of equal base and slant height 14 m. Find the internal curved surface area of the building. Ans. Let’s draw the diagram for the given question: Now the curved
The interior of a building is in the form of a cylinder of base radius 12 m Read More »
Q) The difference between the outer and inner radii of a hollow right circular cylinder of length 14 cm is 1 cm. If the volume of the used in making the cylinder is 176 cm³, find the outer and inner radii of the cylinder. Ans. Let’s draw the diagram for the given question: Here, Cylinder
Q) A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area and the volume of the vessel. Ans. Let’s start with the diagram of the question: We
Q) The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.Ans: STEP BY STEP SOLUTION Let’s draw a diagram for this question to understand it better: [Note: Since a frustum is a
The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends Read More »
Q) 21 glass spheres, each of radius 2 cm are packed in a cuboidal box of internal dimensions 16 cm × 8 cm × 8 cm and, then the box is filled with water. Find the volume of water filled in the box. Ans: STEP BY STEP SOLUTION Let’s draw a diagram for this question
Q) A well of diameter 3m is dug 14m deep. The earth taken out of it has been evenly spread out in the form of a circular ring of width 4m to form an embankment. Find the height of the embankment. Ans: STEP BY STEP SOLUTION Let’s draw a diagram for this question to understand